A Note on Shelling

Details A Note on Shelling A Note on Shelling

2002-03-04

arxiv.org/abs/math/0203025v2

Discrete and Computational Geometry 30 (2003) 573-589

Mathematics

Metric Geometry

substantially revised and extended, 15 pages, AMS LaTeX, several figures included; see also math.MG/9907156

Scientific paper

10.1007/s00454-003-2873-1

The radial distribution function is a characteristic geometric quantity of a point set in Euclidean space that reflects itself in the corresponding diffraction spectrum and related objects of physical interest. The underlying combinatorial and algebraic structure is well understood for crystals, but less so for non-periodic arrangements such as mathematical quasicrystals or model sets. In this note, we summarise several aspects of central versus averaged shelling, illustrate the difference with explicit examples, and discuss the obstacles that emerge with aperiodic order.

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